0.3(p-1)-0.5(3p+2)=0.7p

Solution for 0.3(p-1)-0.5(3p+2)=0.7p equation:

Simplifying
0.3(p + -1) + -0.5(3p + 2) = 0.7p

Reorder the terms:
0.3(-1 + p) + -0.5(3p + 2) = 0.7p
(-1 * 0.3 + p * 0.3) + -0.5(3p + 2) = 0.7p
(-0.3 + 0.3p) + -0.5(3p + 2) = 0.7p

Reorder the terms:
-0.3 + 0.3p + -0.5(2 + 3p) = 0.7p
-0.3 + 0.3p + (2 * -0.5 + 3p * -0.5) = 0.7p
-0.3 + 0.3p + (-1 + -1.5p) = 0.7p

Reorder the terms:
-0.3 + -1 + 0.3p + -1.5p = 0.7p

Combine like terms: -0.3 + -1 = -1.3
-1.3 + 0.3p + -1.5p = 0.7p

Combine like terms: 0.3p + -1.5p = -1.2p
-1.3 + -1.2p = 0.7p

Solving
-1.3 + -1.2p = 0.7p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-0.7p' to each side of the equation.
-1.3 + -1.2p + -0.7p = 0.7p + -0.7p

Combine like terms: -1.2p + -0.7p = -1.9p
-1.3 + -1.9p = 0.7p + -0.7p

Combine like terms: 0.7p + -0.7p = 0.0
-1.3 + -1.9p = 0.0

Add '1.3' to each side of the equation.
-1.3 + 1.3 + -1.9p = 0.0 + 1.3

Combine like terms: -1.3 + 1.3 = 0.0
0.0 + -1.9p = 0.0 + 1.3
-1.9p = 0.0 + 1.3

Combine like terms: 0.0 + 1.3 = 1.3
-1.9p = 1.3

Divide each side by '-1.9'.
p = -0.6842105263

Simplifying
p = -0.6842105263